Question

find the coordinates of point b such that \\( \overline { a b } \\) would be \\( \frac { 1 } { 4 } \\) the length of \\( \overline { a c } \\).
step 1: find \\( \frac { 1 } { 4 } \\) of the horizontal change and vertical change from a to c.
enter your answers.
\\( \frac { 1 } { 4 } \\) of horizontal change:
\\( \frac { 1 } { 4 } ( 3 - ( - 5 ) ) = \\)
\\( \frac { 1 } { 4 } \\) of vertical change:
\\( \frac { 1 } { 4 } ( - 5 - ( 3 ) ) = \\)

Explanation:

Step1: Calculate horizontal change

First, calculate \(3-(-5)=3 + 5=8\). Then find \(\frac{1}{4}\) of it: \(\frac{1}{4}\times8 = 2\).

Step2: Calculate vertical change

First, calculate \(-5 - 3=-8\). Then find \(\frac{1}{4}\) of it: \(\frac{1}{4}\times(-8)=-2\).

Answer:

\(\frac{1}{4}\) of horizontal change: \(2\); \(\frac{1}{4}\) of vertical change: \(-2\)